A:
Positive:
1 x 2181769317 x 3116813361 x 3576671427 x 510953661 x 330071773 x 2822474627 x 471535411 x 40321
Negative:
-1 x -218176931-7 x -31168133-61 x -3576671-427 x -510953-661 x -330071-773 x -282247-4627 x -47153-5411 x -40321
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 218,176,931, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 218,176,931 | |
| -1 | -218,176,931 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 218,176,931.
Example:
1 x 218,176,931 = 218,176,931
and
-1 x -218,176,931 = 218,176,931
Notice both answers equal 218,176,931
With that explanation out of the way, let's continue. Next, we take the number 218,176,931 and divide it by 2:
218,176,931 ÷ 2 = 109,088,465.5
If the quotient is a whole number, then 2 and 109,088,465.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 218,176,931 | |
| -1 | -218,176,931 |
Now, we try dividing 218,176,931 by 3:
218,176,931 ÷ 3 = 72,725,643.6667
If the quotient is a whole number, then 3 and 72,725,643.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 218,176,931 | |
| -1 | -218,176,931 |
Let's try dividing by 4:
218,176,931 ÷ 4 = 54,544,232.75
If the quotient is a whole number, then 4 and 54,544,232.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 218,176,931 | |
| -1 | 218,176,931 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 427 | 661 | 773 | 4,627 | 5,411 | 40,321 | 47,153 | 282,247 | 330,071 | 510,953 | 3,576,671 | 31,168,133 | 218,176,931 |
| -1 | -7 | -61 | -427 | -661 | -773 | -4,627 | -5,411 | -40,321 | -47,153 | -282,247 | -330,071 | -510,953 | -3,576,671 | -31,168,133 | -218,176,931 |
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